Electronic heat transport across a molecular wire: Power spectrum of heat fluctuations

Zhan, Fei; Денисов, С. В.; Hänggi, Peter

doi:10.1103/physrevb.84.195117

Cited by 27 publications

(36 citation statements)

References 39 publications

(116 reference statements)

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“…There exist very few works on the zero-frequency mixed noise [6][7][8][9][10] and not even one concerning the finite-frequency mixed noise. Theoretically, the studies are limited to the electrical noise spectrum (see [11][12][13] and references therein), to the energy noise spectrum [14][15][16] , to the statistics of the energy current in the presence of time-dependent excitation 17,18 , and to the heat noise spectrum 19 . This is regrettable since it has been shown recently that the zerofrequency mixed noise contains information on the thermoelectric response of the system 9,10 : it gives the figure of merit in the linear response regime and it is related to the thermoelectric efficiency in the weak transmission regime (Schottky regime).…”

Section: Introductionmentioning

confidence: 99%

Mixed electrical-heat noise spectrum in a quantum dot

Eyméoud

Crépieux

2016

Phys. Rev. B

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Using the Keldysh Green function technique, we calculate the finite-frequency correlator between the electrical current and the heat current flowing through a quantum dot connected to reservoirs. At equilibrium, we find that this quantity, called mixed noise, is linked to the thermoelectric acconductance by the fluctuation-dissipation theorem. Out-of-equilibrium, we discuss its spectrum and find evidence of the close relationship between the mixed noise and the thermopower. We study the spectral coherence and identify the conditions to have a strong correlation between the electrical and heat currents. The change in the spectral coherence due to the presence of a temperature gradient between the reservoirs is also highlighted.

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Section: Introductionmentioning

confidence: 99%

Mixed electrical-heat noise spectrum in a quantum dot

Eyméoud

Crépieux

2016

Phys. Rev. B

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“…One can do the same for the noise in heat or energy currents, both theoretically [58,59,[264][265][266][267][268][269] and experimentally [126,256], and this again should give more information about the system than the average currents alone. In particular, one can look at cross-correlations between noise in the charge current and that in the heat current, which can give information about whether each charge carriers carry positive or negative amounts of heat [58,59].…”

Section: Noise In Heat and Charge Currentsmentioning

confidence: 99%

Fundamental aspects of steady-state conversion of heat to work at the nanoscale

et al. 2017

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In recent years, the study of heat to work conversion has been re-invigorated by nanotechnology. Steady-state devices do this conversion without any macroscopic moving parts, through steady-state flows of microscopic particles such as electrons, photons, phonons, etc. This review aims to introduce some of the theories used to describe these steady-state flows in a variety of mesoscopic or nanoscale systems. These theories are introduced in the context of idealized machines which convert heat into electrical power (heat-engines) or convert electrical power into a heat flow (refrigerators). In this sense, the machines could be categorized as thermoelectrics, although this should be understood to include photovoltaics when the heat source is the sun. As quantum mechanics is important for most such machines, they fall into the field of quantum thermodynamics. In many cases, the machines we consider have few degrees of freedom, however the reservoirs of heat and work that they interact with are assumed to be macroscopic. This review discusses different theories which can take into account different aspects of mesoscopic and nanoscale physics, such as coherent quantum transport, magnetic-field induced effects (including topological ones such as the quantum Hall effect), and single electron charging effects. It discusses the efficiency of thermoelectric conversion, and the thermoelectric figure of merit. More specifically, the theories presented are (i) linear response theory with or without magnetic fields, (ii) Landauer scattering theory in the linear response regime and far from equilibrium, (iii) Green-Kubo formula for strongly interacting systems within the linear response regime, (iv) rate equation analysis for small quantum machines with or without interaction effects, (v) stochastic thermodynamic for fluctuating small systems. In all cases, we place particular emphasis on the fundamental questions about the bounds on ideal machines. Can magnetic-fields change the bounds on power or efficiency? What is the relationship between quantum theories of transport and the laws of thermodynamics? Does quantum mechanics place fundamental bounds on heat to work conversion which are absent in the thermodynamics of classical systems?

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“…The interest on electronic heat noise has appeared only very recently [108,109,110,111,112,113,114,115]. Already in the linear regime the chargeheat cross-correlations are related to Seebeck-like and Peltier-like coefficients by means of an extended three-terminal fluctuation-dissipation theorem.…”

Section: Fluctuations and Noisementioning

confidence: 99%

Thermoelectric energy harvesting with quantum dots

2014

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Abstract. We review recent theoretical work on thermoelectric energy harvesting in multi-terminal quantum-dot setups. We first discuss several examples of nanoscale heat engines based on Coulomb-coupled conductors. In particular, we focus on quantum dots in the Coulomb-blockade regime, chaotic cavities and resonant tunneling through quantum dots and wells. We then turn towards quantum-dot heat engines that are driven by bosonic degrees of freedom such as phonons, magnons and microwave photons. These systems provide interesting connections to spin caloritronics and circuit quantum electrodynamics.

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Electronic heat transport across a molecular wire: Power spectrum of heat fluctuations

Cited by 27 publications

References 39 publications

Mixed electrical-heat noise spectrum in a quantum dot

Mixed electrical-heat noise spectrum in a quantum dot

Fundamental aspects of steady-state conversion of heat to work at the nanoscale

Thermoelectric energy harvesting with quantum dots

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